Wave field near a~narrow convex impedance cone completely illuminated by a~plane incident wave
Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 47, Tome 461 (2017), pp. 195-211

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An acoustic incident plane wave completely illuminates a narrow convex cone with impedance boundary condition on its surface. The wave field at far distances from the vertex of the cone and in some close neighbourhood of the cone's surface is asymptotically computed.
@article{ZNSL_2017_461_a10,
     author = {M. A. Lyalinov and S. V. Polianskaya},
     title = {Wave field near a~narrow convex impedance cone completely illuminated by a~plane incident wave},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {195--211},
     publisher = {mathdoc},
     volume = {461},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2017_461_a10/}
}
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M. A. Lyalinov; S. V. Polianskaya. Wave field near a~narrow convex impedance cone completely illuminated by a~plane incident wave. Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 47, Tome 461 (2017), pp. 195-211. http://geodesic.mathdoc.fr/item/ZNSL_2017_461_a10/